New Physics and Models for Compressible Turbulent Flows

Autor: Otto Zeman, Gregory A. Blaisdell
Rok vydání: 1991
Předmět:
Zdroj: Advances in Turbulence 3 ISBN: 9783642844010
Popis: This paper reports on recent advances in modeling and direct numerical simulations (DNS) of compressible turbulent flows. In the second-order equations, two principal compressibility terms have been identified: the dilatation dissipation (∈ d ) and the pressure-dilatation correlation (II d ). The dilatation dissipation arising from the occurence of shock-like events is treated by the theory of Zeman. A first order approximation to II d in homogeneous turbulence is shown to be \(I{I_d}\alpha - D\overline {{p^2}} /Dt.\) The rate of change of the pressure variance \(\overline {{p^2}}\) is proposed to be governed by nonlinear relaxation (on the acoustic time scale) to its equipartition value. The effect of dilatation dissipation is illustrated by comparing experiments and results of a second-order closure model (SOC) for compressible shear layers. DNS data in decaying, and shear-driven homogeneous turbulence are utilized to illustrate the initial-value dependence of turbulence evolution and to verify the proposed model for pressure-dilatation correlation.
Databáze: OpenAIRE